I had to look into this a fair bit for my anti-convulsants. As
@Alice_In_Ironland mentioned, a glp will slow the absorption of oral medication. This slowed absorption is unpredictable in the initial weeks until the body adapts and gastric slowing stabilizes.
This is generally only important in "time-sensitive" medications like anti-consvulsants, cardiac medications etc etc. but certain contraceptives fall into the moderate time sensitive catergory with one option being strict.
**Warning** - these are approximates found in a brief web search, consult a physician on contraceptive therapuetic windows. (Coverin my ass

)
Estrogen/progestin pill - Safe window <24hrs
Old progestin only pill - Safe window <3hrs
New progestin only pill - Safe windiw <12hrs
Anything later is considered a missed dose.
For comparison anti-convulsants are around 1-4hrs with a few being around 6hrs or so.
After a few months, gastric slowing would be more predictable and your "delayed" absorption is now your new "normal" medication timing. With a stable absorption, every dose is delayed the same amount of time creating an offset that will increase or decrease with glp dose adjustments.
Now for ozempic babies. These are the main drivers.
1. Return of ovulation to suffers PCOS and obesity-related anovulation.
- weight loss + improved insulin sensitivity
- horminal changes normalize cycles
2. Unrecognized fertility rebound
- assume still subfertile when fertility improves faster than expected
- poor contraceptive habits while assume still subfertile
3. Oral birth control less reliable
- vomiting/diarrhea causeing reduced ir no absorption at all
- Delated gastric emptying - depends on compiund really
- missed dose because of nausea
4. Weight loss
- better cycles
- imoroved estrogen/progesterone balance
- reduced insulin sensitivity (insulin sensitivity strongly effects ovulation)
Take your pick, theres a few causes.
@Alice_In_Ironland suggestions are a good idea. If oral contraceptives are kept as the prefered birth control method, be conservative and assume a 3-4 month risk period with extra risk on top after each dose increase even when your emptying is stable. I imagine 4-8 weeks will get you stable gastric emptying so 3-4 months is conservative.
Disclaimer - im not a doctor